Let's solve each of the
percent missing number problems step by step.
We are given percentage equations in the form:
>
X% of Y = Z
We need to find the missing number (either X, Y, or Z), depending on what’s missing.
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🔹 General Formula:
To find a part:
>
Part = (Percent / 100) × Whole
To find the whole:
>
Whole = Part / (Percent / 100)
Or rearranged:
>
Whole = (Part × 100) / Percent
To find the percent:
>
Percent = (Part / Whole) × 100
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Let’s go through each problem:
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1. ___ of 50 = 45.5
We're looking for the
percent that gives 45.5 when applied to 50.
Use:
> Percent = (Part / Whole) × 100
> = (45.5 / 50) × 100
> = 0.91 × 100 =
91%
✔ Answer: 91%
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2. 59% of ___ = 23.6
We’re solving for the
whole.
Use:
> Whole = (Part × 100) / Percent
> = (23.6 × 100) / 59
> = 2360 / 59 ≈
40
Check: 59% of 40 = 0.59 × 40 = 23.6
✔
✔ Answer: 40
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3. 81% of ___ = 40.5
Again, find the whole.
> Whole = (40.5 × 100) / 81
> = 4050 / 81 ≈
50
Check: 0.81 × 50 = 40.5
✔
✔ Answer: 50
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4. 75% of ___ = 15
> Whole = (15 × 100) / 75 = 1500 / 75 =
20
Check: 0.75 × 20 = 15
✔
✔ Answer: 20
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5. ___ of 3 = 1.8
Find the percent.
> Percent = (1.8 / 3) × 100 = 0.6 × 100 =
60%
✔ Answer: 60%
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6. 56% of ___ = 3.92
> Whole = (3.92 × 100) / 56 = 392 / 56 =
7
Check: 0.56 × 7 = 3.92
✔
✔ Answer: 7
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7. 69% of 30 = ___
Now we’re finding the
part.
> Part = (69 / 100) × 30 = 0.69 × 30 =
20.7
✔ Answer: 20.7
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8. 29% of ___ = 26.1
> Whole = (26.1 × 100) / 29 = 2610 / 29 ≈
90
Check: 0.29 × 90 = 26.1
✔
✔ Answer: 90
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9. ___ of 20 = 6.2
Find the percent.
> Percent = (6.2 / 20) × 100 = 0.31 × 100 =
31%
✔ Answer: 31%
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10. 82% of 10 = ___
> Part = (82 / 100) × 10 = 0.82 × 10 =
8.2
✔ Answer: 8.2
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✔ Final Answers:
1.
91%
2.
40
3.
50
4.
20
5.
60%
6.
7
7.
20.7
8.
90
9.
31%
10.
8.2
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Let me know if you'd like these explained with diagrams or visual models!
Parent Tip: Review the logic above to help your child master the concept of 5th grade percent worksheet.
